Найти производную функции f(x)=(3+2x)/(x-5)

F`(x)=[(3+2x)`(x-5)-(x-5)`(3=2x)]/(x-5)²=
=[2(x-5)-1(3+2x)]/(x-5)²=(2x-10-3-2x)/(x-5)²=-13/(x-5)²

F ( x ) = ( 3 + 2x ) / ( x - 5 )
( u/v ) ' = ( u'•v - v'u ) / v^2
F ' ( x ) = ( 2•( x - 5) - 1•( 3 + 2x )) / ( x - 5)^2 = ( 2x - 10 - 3 - 2x ) / ( x - 5 )^2 = ( - 13 ) / ( x^2 - 10x + 25 )
ответ ( - 13 ) / ( х^2 - 10х + 25 )